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Home Questions Tags Users Unanswered. Finiteness of stable homotopy groups of spheres Ask Question. Asked 7 years ago.

What is a Manifold? Lesson 18: Homotopy

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Andreas Holmstrom Andreas Holmstrom 3, 3 3 gold badges 26 26 silver badges 53 53 bronze badges. It's unclear to me how you can discount them from being conceptual, as they're proofs. One then needs to know a bound on the p-component that can appear I believe the first appreance of an element of order p is at 2p-3 and I am sure someone has a good conceptual explanation of this. One might think of this as being a little bit like chromatic homotopy theory, it is the "0th layer" of chromatic homotopy theory. Ryan: Sure, a proof is a proof, and Serre's work is amazing, but I still think it is meaningful to ask for conceptual reasons for believing something.

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Part of my motivation is that there are many unproven conjectures suggesting that this or that cohomological invariant should be finite or finitely generated and it would be interesting to hear the reasons if any! Peter May Peter May Simplicial Homotopy Theory.

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Homotopy quantum field theory. Syzygies and homotopy theory.

Local Homotopy Theory. Elements of Homotopy Theory. Rational homotopy theory.

Syzygies and Homotopy Theory. Parametrized homotopy theory draft. Introduction to Homotopy Theory. Parametrized homotopy theory. Motivic homotopy theory. Homotopy Theory and Related Topics. Hwang Jun 28 '15 at Balarka Sen Balarka Sen 11k 1 1 gold badge 30 30 silver badges 58 58 bronze badges.

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Percy : An Eckmann-Hilton dual to the {$\Pi$}-algebras of homotopy theory

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